457801543864440 has 256 divisors, whose sum is σ = 1555707564057600. Its totient is φ = 119716311052800.

The previous prime is 457801543864429. The next prime is 457801543864537. The reversal of 457801543864440 is 44468345108754.

457801543864440 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 0 + 1 + 543 + 8 + 6 + 44 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11309269 + ... + 32303291.

It is an arithmetic number, because the mean of its divisors is an integer number (6076982672100).

Almost surely, 2^{457801543864440} is an apocalyptic number.

457801543864440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457801543864440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777853782028800).

457801543864440 is an abundant number, since it is smaller than the sum of its proper divisors (1097906020193160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457801543864440 is a wasteful number, since it uses less digits than its factorization.

457801543864440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20994435 (or 20994425 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 457801543864440 in words is "four hundred fifty-seven trillion, eight hundred one billion, five hundred forty-three million, eight hundred sixty-four thousand, four hundred forty".